Let us recall the terminology. In our case, the rectilinear shock is called uniformly stable if the linearized problem (REF )–(REF ) satisfies the uniform Lopatinski condition [1]}. This shock is called weakly stable if problem (REF )–(REF ) satisfies the Lopatinski condition in a weak sense, i.e., problem (REF )–(REF ) satisfies the Lopatinski condition [1]} but violates the uniform Lopatinski condition. We are now in a position to formulate the main result of this paper.
